{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2.主成分分析法\n",
    "<P>用PCA做数据变换</P>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import mglearn\n",
    "mglearn.plots.plot_pca_illustration()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>主成分分析(pca)是一种旋转数据集的方法,旋转后的特征在统计上不相关。旋转完数据后，通常是根据新特征对解释数据的重要性来选择它的一个子集</p>\n",
    "<p>正如第一张图（左上）所示,算法找到方差最大的方向并将其标为主成分1.这是数据中包含最多信息的方向（向量）,之后算法找到与其正交且包含信息也<br>\n",
    "比较多的方向</p>\n",
    "<P>第二张图(右上)做了旋转，是主成分1与x轴平行,主成分2与y轴平行。并且从数据中减去平均值，使得变换后的数据以0为中心</P>\n",
    "<p>第三张图(左下).我们仅保留主成分1来实现对数据的降维</p>\n",
    "<p>最后我们将数据旋转回原来的位置</p>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 将PCA用于cancer数据集并可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x1440 with 30 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import load_breast_cancer\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import mglearn\n",
    "cancer = load_breast_cancer()\n",
    "fig,axes = plt.subplots(15,2,figsize=(10,20))\n",
    "malignant = cancer.data[cancer.target == 0]\n",
    "benign = cancer.data[cancer.target == 1]\n",
    "ax = axes.ravel() # 将数组维度拉成一维数组\n",
    "\n",
    "for i in range(30):\n",
    "    _,bins = np.histogram(cancer.data[:,i],bins=50) # bins 代表统计区间的范围\n",
    "    ax[i].hist(malignant[:,i],bins=bins,color=mglearn.cm3(0),alpha=0.5) \n",
    "    ax[i].hist(benign[:,i],bins=bins,color=mglearn.cm3(2),alpha=0.5)\n",
    "    ax[i].set_title(cancer.feature_names[i])\n",
    "    ax[i].set_yticks(())\n",
    "ax[0].set_xlabel('Feature magnitude')\n",
    "ax[0].set_ylabel(\"Frequency\")\n",
    "ax[0].legend([\"malignant\",\"benign\"],loc='best')\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>如图所示,smoothnesserror似乎没有什么信息量(良性与恶行重叠较多)。Worst concave points似乎信息量相当大</p>\n",
    "<p>现在，我们利用PCA方法找到特征中的前两个主成分,并在二维空间中将其可视化</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import StandardScaler # 在应用PCA之前,我们使用StandarScaler缩放数据,使每个特征的方差均为1\n",
    "scaler = StandardScaler()\n",
    "scaler.fit(cancer.data)\n",
    "X_scaled = scaler.transform(cancer.data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "初始数据维度:(569, 30)\n",
      "变换后的数据维度:(569, 2)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "# 保留数据的前两个成分\n",
    "pca = PCA(n_components=2)\n",
    "# 对乳腺癌数据匹配pca模型\n",
    "pca.fit(X_scaled)\n",
    "# 将数据变换到前两个主成分的方向上\n",
    "X_pca = pca.transform(X_scaled)\n",
    "print(f\"初始数据维度:{X_scaled.shape}\")\n",
    "print(f\"变换后的数据维度:{X_pca.shape}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X_pca:[[ 9.19283683  1.94858307]\n",
      " [ 2.3878018  -3.76817174]\n",
      " [ 5.73389628 -1.0751738 ]\n",
      " [ 7.1229532  10.27558912]\n",
      " [ 3.93530207 -1.94807157]]\n"
     ]
    }
   ],
   "source": [
    "print(f\"X_pca:{X_pca[:5]}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Second principal component')"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 对两个特征作图\n",
    "plt.figure(figsize=(8,8))\n",
    "mglearn.discrete_scatter(X_pca[:,0],X_pca[:,1],cancer.target)\n",
    "plt.legend(cancer.target_names,loc='best')\n",
    "plt.gca().set_aspect('equal')\n",
    "plt.xlabel(\"First principal component\")\n",
    "plt.ylabel(\"Second principal component\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 主成分对应的是原始特征中的方向，因此他们是原始特征的组合,但是这些组合非常复杂.在拟合过程中，主成分被保存在pca对象的components_属性中"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PCA主成分形状:(2, 30)\n"
     ]
    }
   ],
   "source": [
    "print(f\"PCA主成分形状:{pca.components_.shape}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### components_中的每一行对应一个主成分,他们按重要性排序(第一主成分在前,之后以此类推).列对应pca的原始特征属性"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PCA compontents:[[ 0.21890244  0.10372458  0.22753729  0.22099499  0.14258969  0.23928535\n",
      "   0.25840048  0.26085376  0.13816696  0.06436335  0.20597878  0.01742803\n",
      "   0.21132592  0.20286964  0.01453145  0.17039345  0.15358979  0.1834174\n",
      "   0.04249842  0.10256832  0.22799663  0.10446933  0.23663968  0.22487053\n",
      "   0.12795256  0.21009588  0.22876753  0.25088597  0.12290456  0.13178394]\n",
      " [-0.23385713 -0.05970609 -0.21518136 -0.23107671  0.18611302  0.15189161\n",
      "   0.06016536 -0.0347675   0.19034877  0.36657547 -0.10555215  0.08997968\n",
      "  -0.08945723 -0.15229263  0.20443045  0.2327159   0.19720728  0.13032156\n",
      "   0.183848    0.28009203 -0.21986638 -0.0454673  -0.19987843 -0.21935186\n",
      "   0.17230435  0.14359317  0.09796411 -0.00825724  0.14188335  0.27533947]]\n"
     ]
    }
   ],
   "source": [
    "print(f\"PCA compontents:{pca.components_}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Principal components')"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.matshow(pca.components_,cmap='viridis')\n",
    "plt.yticks([0,1],['First component','Second component'])\n",
    "plt.colorbar()\n",
    "plt.xticks(range(len(cancer.feature_names)),cancer.feature_names,rotation=60,ha='left')\n",
    "plt.xlabel(\"Feature\")\n",
    "plt.ylabel(\"Principal components\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# KNN算法(搭配PCA降维度)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X_train_pca:(426, 2)\n",
      "X_test_pca:(143, 2)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.datasets import load_breast_cancer\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "cancer = load_breast_cancer()\n",
    "X_train,X_test,y_train,y_test = train_test_split(cancer.data,cancer.target,random_state=0)\n",
    "\n",
    "# 标准化数据\n",
    "scaler = StandardScaler()\n",
    "scaler.fit(X_train)\n",
    "X_train_scaled = scaler.transform(X_train)\n",
    "X_test_scaled = scaler.transform(X_test)\n",
    "\n",
    "# pca降维度\n",
    "from sklearn.decomposition import PCA\n",
    "# 保留数据的前两个主成分\n",
    "pca = PCA(n_components=2)\n",
    "# 拟合pca模型\n",
    "pca.fit(X_train_scaled)\n",
    "X_train_pca = pca.transform(X_train_scaled)\n",
    "X_test_pca = pca.transform(X_test_scaled)\n",
    "print(f\"X_train_pca:{X_train_pca.shape}\")\n",
    "print(f\"X_test_pca:{X_test_pca.shape}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "训练集得分:0.9507042253521126\n",
      "测试集得分:0.9370629370629371\n"
     ]
    }
   ],
   "source": [
    "# 构建KNN分类器\n",
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "knn = KNeighborsClassifier(n_neighbors=5) # 实列化KNN类\n",
    "knn.fit(X_train_pca,y_train) # 构建KNN分类器\n",
    "print(f\"训练集得分:{knn.score(X_train_pca,y_train)}\")\n",
    "print(f\"测试集得分:{knn.score(X_test_pca,y_test)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[-2.85924814 -0.2861448 ]\n",
      " [-3.26308367  1.07251955]\n",
      " [ 3.75551268 -3.40968876]\n",
      " [-3.49263242 -2.68784664]\n",
      " [-0.74351745 -2.48214924]]\n"
     ]
    }
   ],
   "source": [
    "print(f\"{X_train_pca[:5]}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0]\n",
      "['malignant']\n"
     ]
    }
   ],
   "source": [
    "X_new = np.array([[-0.74351745, -2.48214924]])\n",
    "print(knn.predict(X_new))\n",
    "print(cancer.target_names[knn.predict(X_new)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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